The steering wheel on Becky’s car has a 16-inch diameter, and its center is at (0, 0). Point X at the top of the wheel has coordinates (0, 8). To turn left off her street, Becky must rotate the steering wheel by 300°. Find the coordinates of X when the steering wheel is rotated. Round to the nearest tenth.

Rotating the steering wheel left 300 degrees is the same as turning it right 60 degrees.  Well, not if you're driving, but the same as far as where the points on the wheel end up.

In polar coordinates X is P(8, 90°), which is how I'll write magnitude 8, angle 90 degrees.  In rectangular coordinates that's (8 cos 90°, 8 sin 90°) = (0,8) as we're told.

After rotation by 300° the angle of X is 90° + 300° = 390° so our coordinates are

P(8, 390°) = (8 cos 390°, 8 sin 390°) = (8 cos 30°, 8 sin 30°)

= (8 (√3/2), 8 (1/2)) = (4√3, 4)

 (4√3, 4)

I'll leave the rounding to you; I hate ruining a nice exact answer with an approximation.

As we see we would have reached the same 30° point if we had rotated -60° instead of 300°.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.